Matters needing attention in reviewing specific knowledge points:
1, trigonometric function
The three knowledge of trigonometric function are function image and its properties, identity transformation and trigonometric solution. What we reflect in teaching now is that images and properties can be mastered, but the identity transformation needs to be strengthened, many formulas in the triangle solution need to be deduced and memorized, and there are also four-center problems in the triangle, which should be dealt with analytically.
2, solid geometry
Attach importance to the combination of traditional synthesis method and analytical method (vector), and attach importance to the application of time-varying transformation using traditional methods, in which finding the distance between points and surfaces is the central link and indispensable knowledge point for finding spatial angle and distance. In the analysis method, we should pay attention to the rationality of establishing the system, the process of establishing the system, the selection and evaluation, the standardization of calculation and the training of proficiency. Hubei proposition often takes into account both methods, but don't ignore the traditional methods.
3. Probability and statistics
We should attach importance to the mastery of probability knowledge and statistical knowledge at the same time. Moreover, the definition of variance and the memory and use of expectation formula in statistics should be in place. Improve the examination requirements of thinking in probability. Understand the knowledge, such as normal distribution, linear regression, histogram, etc., to review in place.
4. Analytic geometry
That is to say, we should pay attention to the geometric properties of straight lines, circles and conic curves, and at the same time pay attention to the calculation of the positional relationship between straight lines and conic curves, as well as the tangent method of conic curves, and summarize and refine the methods. The ability of letter operation and reasonable reasoning needs to be strengthened, and the vector form should be good at transforming into a traditional model that we can accept.
5. Inequality
When solving inequalities, quadratic sum fraction inequalities and solutions with parameters and absolute numbers should be very skilled. On the other hand, to prove inequality, we need to master the most basic proof methods-analysis and synthesis, and also need to master mathematical induction, scaling, construction and classification discussion to prove more complex inequalities.
Step 6: Order
We should fully grasp the operational nature of arithmetic and geometric series and the relationship between the general term of the series and the sum of the first n terms, and learn to use the principle of superposition and iteration. Liberal arts students focus on the improvement of knowledge and calculation ability, while science attaches great importance to recursive sequence and the combination of sequence with function and inequality, and needs to learn comprehensive skills to deal with sequence inequality. Among them, the conversion between sequence and function is a common method.
7. Functions and derivatives
Pay attention to the comprehensive review of the basic properties of the function, this part of the score will account for a lot, and the instrumental role of solving problems can not be ignored. Using derivative to study the sketch of function is a common skill in dealing with complex problems, which can turn abstraction into concreteness and teach excellent students condescending skills. The idea of combining numbers and shapes will run through the whole process of dealing with problems. Liberal arts should not ignore quadratic function.
8. Adhere to the scientific concept of mathematics education.
Pay attention to application, never relax the knowledge of probability and statistics, don't ignore the application of traditional knowledge such as trigonometric function, function, sequence, inequality, linear law and analytic geometry, and properly consolidate the application of normal distribution, linear regression and histogram. Second, pay attention to the guiding role of the examination syllabus and examination instructions, and emphasize the stability of the proposition.
1, mainly stable.
For proposers, with the deepening understanding of the outline of middle school mathematics examination and the investigation of middle school teaching, the importance of proposition stability is realized.
2. Brainstorm.
When reviewing, we should absorb the highlights and advantages of the propositions of other provinces and cities in the previous three years, fully consider the suggestions of the National Examination Center, and constantly improve the shortcomings in the propositions. Therefore, as a test taker, we should fully study the reasonable components in the propositions of other provinces and cities in the first three years, especially the propositions of Hubei Province and the test questions issued by the National Examination Center.
3. Control the difficulty.
After several years of exploration, many provinces and cities have their own successful experience in controlling the difficulty of proposition, but some provinces and cities are still as difficult as Jiangsu. The multiple-choice questions and fill-in-the-blank questions in our Hubei science volume are too big, but the answers are relatively peaceful. So many students spend too much time in front, and then don't have enough time to think about solutions. Even if many solutions can be made, there is no time. It is reasonable to control the difficulty of liberal arts questions. Third, attach importance to teaching materials and the role of typical examples and exercises in teaching materials.
1, pay attention to the use of teaching materials.
(1) Pay attention to the connection and integration of textbook knowledge.
(2) Pay attention to the expansion and integration of examples in textbooks.
(3) Pay attention to the changes and integration of textbook exercises.
(4) Pay attention to teaching material exploration, modeling, cultural development and exploration.
(5) Pay attention to the integration of new content types and the original knowledge system.
2. Pay attention to how textbooks play a typical role.
(1) Clear thinking and formation mode
(2) A topic is changeable, and it needs to be explored deeply.
(3) Multiple solutions to one problem, running through it vertically and horizontally
(4) Summarize and build the system
3. How to choose a topic for the college entrance examination preparation?
(1) The topic selection should be conducive to the review of basic knowledge.
(2) The choice of topics should be conducive to mastering the general methods of solving problems.
(3) The topic selection should be conducive to the integration of students' knowledge, learning a topic, knowing a piece and having a class.
(4) The topic selection should be conducive to students' review enthusiasm.
(5) The topic selection should be conducive to the improvement of students at different levels.
(6) The choice of topics should be conducive to the embodiment of the process and let students know why and why.
(7) The choice of topics should be conducive to the guidance of textbook exercises.